Addition by Components: Vector A has a magnitude of 8.0 m and points east, vector B has a magnitude of 6.0 m and points north, and vector C has a magnitude of 5.0 m and points west. Use the component methods, and find the sum of these four vectors. Make sure you will draw the vectors as has been described in the problem on your blank sheets of papers. Show your complete solution: Hints: Show the x and Y components of all the vectors on the X and Y axis. 1) find ( AX, Ay ), ( Bx, By ), and ( Cx, Cy ), For example :Find : ( Ax = A cos 0, Ay = B sin 0 ) 2) find the sum of all the x-components and the sum of all the y-components . 3) use pythagorean theorem to find the resultant vector (R) of these three vectors. 4) use 0 = tang " ( Ry / Rx ) to find the direction of the resultant vector R relative to X-axis. O A) 2.0 m at an angle 63" north of east. O B) 2.0 m at an angle 635 east of north. O C) 6.7 m at an angle 635 east of north. O D) 6.7 m at an angle 63: north of east. O E) 3.8 m at an angle 67: north of east